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100142322 = 23723831249
BaseRepresentation
bin1011111100000…
…00110011110010
320222102202102220
411332000303302
5201114023242
613534221510
72324124060
oct576006362
9228382386
10100142322
1151589455
1229654896
1317993517
14d42b030
158bd1bec
hex5f80cf2

100142322 has 64 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 27016704.

The previous prime is 100142321. The next prime is 100142323. The reversal of 100142322 is 223241001.

It is an interprime number because it is at equal distance from previous prime (100142321) and next prime (100142323).

It is not an unprimeable number, because it can be changed into a prime (100142321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79554 + ... + 80802.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2100142322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

100142322 is an abundant number, since it is smaller than the sum of its proper divisors (141777678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100142322 is a wasteful number, since it uses less digits than its factorization.

100142322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100142322 is about 10007.1135698562. The cubic root of 100142322 is about 464.3789790481.

Adding to 100142322 its reverse (223241001), we get a palindrome (323383323).

The spelling of 100142322 in words is "one hundred million, one hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 83 138 161 166 249 322 483 498 581 966 1162 1249 1743 1909 2498 3486 3747 3818 5727 7494 8743 11454 13363 17486 26229 26726 28727 40089 52458 57454 80178 86181 103667 172362 201089 207334 311001 402178 603267 622002 725669 1206534 1451338 2177007 2384341 4354014 4768682 7153023 14306046 16690387 33380774 50071161 100142322